A nonlinear drift which leads to $κ$-generalized distributions

We consider a system described by a Fokker-Planck equation with a new type of momentum-dependent drift coefficient which asymptotically decreases as $-1/p$ for a large momentum $p$. It is shown that the steady-state of this system is a $κ$-generalized Gaussian distribution, which is a non-Gaussian distribution with a power-law tail.

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